Least Common Multiple of 3800/775, 8538/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3800/775, 8538/296 quickly i.e. 16222200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3800/775, 8538/296 is 16222200.

LCM(3800/775, 8538/296) = 16222200

LCM of 3800/775, 8538/296

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 3800/775,8538/296

Given numbers are 3800/775,8538/296

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 3800,8538

Least Common Multiple of Numerators i.e. LCM of 3800,8538 is 16222200.

GCF of Denominators means GCF of 775,296 as per the given fractions.

GCF of 775,296 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3800,8538

LCM of Fractions 3800/775,8538/296 is 16222200

2 3800, 8538
1900, 4269

∴ So the LCM of the given numbers is 2 x 1900 x 4269 = 16222200

Least Common Multiple of 3800,8538 with GCF Formula

Least Common Multiple of 3800,8538 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 3800,8538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3800,8538) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(3800,8538) x common factors =2 x 1 = 2

LCM(3800,8538) = ( 3800 × 8538 ) / 2

LCM(3800,8538) = 32444400 / 2

LCM(3800,8538) = 16222200


Lets's calculate GCF of 775,296

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16222200/1

Therefore the LCM of Fractions 3800/775,8538/296 is 16222200

Greatest Common Factor of 775,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 775,296 By Matching Biggest Common Factor Method

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 775,296 . The biggest common factor number is the GCF number.
So the greatest common factor 775,296 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 3800/775, 8538/296

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 3800/775, 8538/296?

Answer: LCM of Numerators as per given numbers 3800/775, 8538/296 is

LCM of Numerators i.e. for 3800,8538 is 16222200

GCF of denominators i.e. for 775,296 is 1.

Thus, LCM of Fractions is 16222200.Finally, LCM of Fractions for 3800/775, 8538/296 is 16222200.